English

Gravitational anomalies of fermionic higher-spin fields

High Energy Physics - Theory 2022-09-21 v2

Abstract

Using the Atiyah-Singer index theorem, we formally compute gravitational anomalies for fermionic higher-spin fields in two, six and ten dimensions, as well as the U(1) mixed gauge-gravitational anomaly in four dimensions. In all cases, anomaly cancellations are found for an infinite tower of fields with alternating chiralities.

Keywords

Cite

@article{arxiv.2205.15005,
  title  = {Gravitational anomalies of fermionic higher-spin fields},
  author = {Victor Lekeu and Yi Zhang},
  journal= {arXiv preprint arXiv:2205.15005},
  year   = {2022}
}

Comments

11 pages. v2: Comments and references added, published version

R2 v1 2026-06-24T11:32:57.512Z